The growing need for a consistent and densified GNSS position and velocity solution for the Nordic and Baltic countries resulted in development of the joint GNSS Analysis Centre of the Nordic Geodetic Commission (NKG) in 2012. We first developed the methods of the operational processing and combination of solutions and then reprocessed the full data history between 1997 and 2017. In this study, we present an ITRF2014 densification for the area including 252 stations having more than 3 years of data. We combined all 20 years of daily solutions with full covariance matrices instead of station-wise analysis and analyzed the noise characteristics of the residual time series. We concluded that the flicker plus white noise uncertainty estimates were more robust than the general power-law estimates. Additionally, we found significant horizontal velocity differences at the co-located stations, pointing out biases not included in the formal uncertainties. The solution is more accurate and denser than any previous estimate, and it will be of great benefit for maintaining the reference frames in the Nordic and Baltic countries, as well as for the geodynamic studies in the area.